From the 1 of 4 linked papers with an AI index.
4 papers
Almost everywhere convergence of subsequences of Walsh-Nörlund means
István Blahota
Let be a non-increasing and convex sequence of non-negative numbers such that . Our main result is to prove almost everywhere convergence \[ t_…
The exact -norm supremum of Walsh--Kaczmarz--Fejér kernels
István Blahota
The paper determines the exact L1‑norm supremum of Fejér kernels for the Walsh–Kaczmarz system, proving a limit of 4/3 for dyadic indices and a global supremum of 71/50.
Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums
Istvan Blahota, Gyorgy Gat
We prove an almost everywhere divergence theorem for Cesà ro means of subsequences of partial sums of Walsh--Fourier series. More precisely, we show that there exists a strictly in…
Approximation by matrix transform means with respect to the Walsh system in Lebesgue spaces
István Blahota, Dóra Nagy
In this paper, we improve, complement and generalize (from Nör\-lund to matrix transform means) a result of Móricz and Siddiqi \cite{MS} and some statements of Areshidze and Teph…